Algebraic expressions worksheet with real-world word problems for students to solve.

Of course! I’ll solve each of the five problems step by step, using algebraic expressions as requested. Since I can’t see the image you uploaded, I’m relying on the text you’ve provided — which appears to be a worksheet titled “Using Algebraic Expressions.”

Let’s go problem by problem.

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Problem 1:

> On Tuesday, Farmer Tom sold 15 eggs every hour. Write an expression to show how many eggs he sold in *h* hours.

✔ Variable: Let *h* = number of hours

✔ Expression:
Since he sells 15 eggs per hour, in *h* hours he sells:
15 × h or simply 15h

✔ Answer:
15h

✔ How many eggs did he sell in 5 hours?
Plug in *h = 5*:
15 × 5 = 75 eggs

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Problem 2:

> Jason has some money his grandfather gives him another $18.00. Write an expression to show how much money Jason has now. How much does he have if he started with $25.00?

✔ Variable: Let *m* = amount of money Jason started with

✔ Expression:
After receiving $18.00, he has:
m + 18

✔ If he started with $25.00:
Plug in *m = 25*:
25 + 18 = $43.00

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Problem 3:

> Lily is working on a 1,000 piece puzzle. She has already put together *p* pieces of the puzzle. Write an equation to show how many pieces Lily has left.

✔ Variable: Let *p* = number of pieces Lily has already put together

✔ Expression/Equation:
Total pieces = 1,000
Pieces left = Total - Pieces done
So:
Pieces left = 1000 - p

✔ If Lily has put 348 pieces, how many does she have left?
Plug in *p = 348*:
1000 - 348 = 652 pieces

✔ If the store has 1,120 chocolates, how many boxes are needed?
Wait — this seems unrelated to the puzzle problem! But looking at the context, it might be part of Problem 4 (since Problem 4 mentions chocolates). Let’s hold off and come back after Problem 4.

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Problem 4:

> Carter’s Chocolate Shop sells 8 chocolates in each box. Write an equation to show how many boxes they need.

✔ Variable: Let *c* = total number of chocolates to be boxed

✔ Expression/Equation:
Each box holds 8 chocolates, so number of boxes needed = total chocolates ÷ 8
Boxes = c / 8

✔ If the store has 1,120 chocolates, how many boxes are needed?
Plug in *c = 1120*:
1120 ÷ 8 = 140 boxes

*(Note: This was likely meant to be part of Problem 4, not Problem 3.)*

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Problem 5:

> David runs 6 miles every day after school. This week, he ran 6 miles more than last week. Write an equation to show how far he ran this week. If David ran 14 miles last week, how far did he run this week?

✔ Variable: Let *l* = miles David ran last week

✔ Expression/Equation:
This week he ran 6 miles more than last week, so:
This week = l + 6

✔ If David ran 14 miles last week:
Plug in *l = 14*:
14 + 6 = 20 miles

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Problem 6:

> Lydia’s neighbor pays her $22.00 in babysitting Sunday afternoons. Write an equation to show how much money she makes. How much money does Lydia earn after 3 Sundays? 10?

✔ Variable: Let *s* = number of Sundays Lydia babysits

✔ Expression/Equation:
She earns $22.00 per Sunday, so:
Money earned = 22 × s or 22s

✔ After 3 Sundays:
22 × 3 = $66.00

✔ After 10 Sundays:
22 × 10 = $220.00

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## ✔ Final Answers Summary:

1. Expression: 15h → In 5 hours: 75 eggs
2. Expression: m + 18 → Starting with $25: $43.00
3. Expression: 1000 - p → With 348 pieces done: 652 pieces left
4. Expression: c / 8 → With 1120 chocolates: 140 boxes
5. Expression: l + 6 → Last week 14 miles: This week 20 miles
6. Expression: 22s → 3 Sundays: $66.00; 10 Sundays: $220.00

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Let me know if you’d like these formatted into a printable worksheet or need visual diagrams for any of them!